%0 Journal Article
%T On monotone convolution and monotone infinite divisivility
%A Takahiro Hasebe
%J Mathematics
%D 2010
%I arXiv
%X This article focuses on properties of monotone convolutions. A criterion for infinite divisibility and time evolution of convolution semigroups are mainly studied. In particular, we clarify that many analogues of the classical results of L\'{e}vy processes hold such as characterizations of subordinators and strictly stable distributions.
%U http://arxiv.org/abs/1002.3430v2